Affiliations: INRIA, Bât. 12, Domaine de Voluceau, BP 105, Rocquencourt, 78153 Le Chesnay Cedex, France | C.M.A.F. and Universidade Nova de Lisboa, Avenida Gama Pinto, 2, 1699, Lisboa Codex, Portugal
Note: [] Correspondence to: J. Henry, INRIA, Bât. 12, Domaine de Voluceau, BP 105, Rocquencourt, 78153 Le Chesnay Cedex, France.
Abstract: We consider a Nernst-Planck-Poisson system modelling ion migration through biological membranes, in the one dimensional case. The model includes both the effects of biochemical reaction between ions and of fixed charges. We state the existence of solutions under either an imposed potential condition or an imposed current condition. We study the asymptotical behaviour of solutions in the limit of electroneutrality. Non-uniform convergence gives rise to jump in the potential, known as Donnan potential. Finally we give correctors which describe the charged boundary layers.
